Synthesis of fixed-architecture, robust \(H_2\) and \(H_\infty\) controllers. (English) Zbl 0996.93074

Collins, Emmanuel G.; Sadhukhan, Debashis

Math. Probl. Eng. 6, No. 2-3, 125-144 (2000).

The Popov multiplier has been used to develop probability one homotopy algorithms for the design of robust controllers with guaranteed \(H_2\) or \(H_\infty\) performance.
It is found that the numerical algorithm for robust \(H_\infty\) performance is much more computationally intensive than that for robust \(H_2\) performance.

Reviewer: M.Megan (Timişoara)

MSC:

93D10	Popov-type stability of feedback systems
93B36	\(H^\infty\)-control
93D21	Adaptive or robust stabilization
93B50	Synthesis problems

Keywords:

controller synthesis; Popov multiplier; homotopy algorithms; robust controllers; \(H_\infty\) performance; \(H_2\) performance